Online GCD Calculator is useful to find the GCD of 612, 729, 648, 198 quickly. Get the easiest ways to solve the greatest common divisor of 612, 729, 648, 198 i.e 9 in different methods as follows.
Given Input numbers are 612, 729, 648, 198
In the factoring method, we have to find the divisors of all numbers
Divisors of 612 :
The positive integer divisors of 612 that completely divides 612 are.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Divisors of 729 :
The positive integer divisors of 729 that completely divides 729 are.
1, 3, 9, 27, 81, 243, 729
Divisors of 648 :
The positive integer divisors of 648 that completely divides 648 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Divisors of 198 :
The positive integer divisors of 198 that completely divides 198 are.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
GCD of numbers is the greatest common divisor
So, the GCD (612, 729, 648, 198) = 9.
Given numbers are 612, 729, 648, 198
The list of prime factors of all numbers are
Prime factors of 612 are 2 x 2 x 3 x 3 x 17
Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3
Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 198 are 2 x 3 x 3 x 11
The highest common occurrence is 32
Therefore, GCD of 612, 729, 648, 198 is 9.
Given numbers are 612, 729, 648, 198
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(612, 729) = 49572
GCD(612, 729) = ( 612 x 729 ) / 49572
= 612 / 729
= 612
Step2:
LCM(9, 648) = 648
GCD(9, 648) = ( 9 x 648 ) / 648
= 9 / 648
= 9
Step3:
LCM(9, 198) = 198
GCD(9, 198) = ( 9 x 198 ) / 198
= 9 / 198
= 9
So, Greatest Common Divisor of 612, 729, 648, 198 is 9
Here are some samples of GCD of Numbers calculations.
Given numbers are 612, 729, 648, 198
The greatest common divisor of numbers 612, 729, 648, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 612, 729, 648, 198 is 9.
1. What is the GCD of 612, 729, 648, 198?
GCD of given numbers 612, 729, 648, 198 is 9
2. How to calculate the greatest common divisor of 612, 729, 648, 198?
We can find the highest common divisor of 612, 729, 648, 198 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 612, 729, 648, 198 i.e 9.
3. How can I use the GCD of 612, 729, 648, 198Calculator?
Out the numbers 612, 729, 648, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.